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Prove that the points (2,-1), (0,2), (2,...

Prove that the points (2,-1), (0,2), (2,3) and (4,0) are the coordinates other vertices of a parallelogram and find the angle between its diagonals.

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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. Find the angles between each of the following pairs of straight line: ...

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  2. Find the acute angle between the lines 2x-y+3=0\ a n d\ x+y+2=0.

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  3. Prove that the points (2,-1), (0,2), (2,3) and (4,0) are the coordi...

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  4. Find the angle between the line joining the points (2,0), (0,3) and th...

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  5. If theta\ is the angle which the straight line joining the points (x1...

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  6. Find the angle between the lines x=a\ a n d\ b y+c=0.

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  7. Find the tangent of the angle between the lines whose intercepts on th...

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  8. Show that the line a^2x+a y+1=0 is perpendicular to the line x-a y=1 f...

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  9. Show that the tangent of an angle between the lines x/a+y/b=1 and x/a-...

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  10. Find the values of the parameter a so that the point (a, 2) is an inte...

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  11. determine whether the point (-3, 2) lies inside or outside the triangl...

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  12. Find the distance between the line 12 x-5y+9=0 and the point (2,1).

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  13. If p\ and\ q be the perpendicular form the origin upon the straight li...

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  14. What are the points on x-axis whose perpendicular distance from the ...

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  15. Find the points on x=0 line whose perpendicular distance from the line...

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  16. The points on x+y=4 that lie at a unit distance from the line 4x+3y-10...

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  17. Find the distance of the point (4,5) from the straight line 3x-5y+7=0

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  18. Find the perpendicular distance of the line joining the points (costhe...

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  19. Find the length of the perpendicular from the origin to the straight ...

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  20. Show that the perpendiculars let fall from any point on the straight ...

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